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Beliebt Rechnen >

(dy)/(dx)=(x^5(y-6)),y(0)=8

Lösung

\frac{d y}{d x} = (x^{5} (y - 6)), y (0) = 8

Lösung

y = 2 e^{\frac{x ^{6}}{6}} + 6

Schritte zur Lösung

\frac{d y}{d x} = (x^{5} (y - 6))

Solve separable ODE:

y = 2 e^{\frac{x ^{6}}{6}} + 6

y = 2 e^{\frac{x ^{6}}{6}} + 6

Graph

Beliebte Beispiele

y x^{2} d x - 3 y d x = d y

(dy)/(dt)= t/(t^2y+y),y(0)=4

\frac{d y}{d t} = \frac{t}{t ^{2} y + y}, y (0) = 4

(x^2+1)(tan(y))y^'=x

(x^{2} + 1) (tan (y)) y^{^{'}} = x

y^'=(1+4x)sqrt(y),y(0)=1

y^{^{'}} = (1 + 4 x) y, y (0) = 1

(x^{-2}y^{-5})dx+(x^{-3}y^{-4})dy=0

(x^{- 2} y^{- 5}) d x + (x^{- 3} y^{- 4}) d y = 0